import torch import triton import triton.language as tl from fla.ops.utils import prepare_chunk_indices @triton.heuristics({ 'USE_GATE': lambda args: args['g_cumsum'] is not None, 'IS_VARLEN': lambda args: args['cu_seqlens'] is not None, }) @triton.jit(do_not_specialize=['T']) def parallel_path_fwd_kernel( q, k, v, o, o_new, g_cumsum, w1, w2, scale, L, L_new, M, cu_seqlens, indices, T, G: tl.constexpr, HQ: tl.constexpr, H: tl.constexpr, K: tl.constexpr, V: tl.constexpr, BT: tl.constexpr, BS: tl.constexpr, BK: tl.constexpr, BV: tl.constexpr, USE_GATE: tl.constexpr, IS_VARLEN: tl.constexpr, ): i_t, i_bh = tl.program_id(0), tl.program_id(1) i_b, i_hq = i_bh // HQ, i_bh % HQ i_h = i_hq // G if IS_VARLEN: i_n, i_t = tl.load(indices + i_t * 2).to(tl.int32), tl.load(indices + i_t * 2 + 1).to(tl.int32) bos, eos = tl.load(cu_seqlens + i_n).to(tl.int32), tl.load(cu_seqlens + i_n + 1).to(tl.int32) T = eos - bos else: i_n = i_b bos, eos = i_n * T, i_n * T + T p_q = tl.make_block_ptr(q + (bos * HQ + i_hq) * K, (T, K), (HQ*K, 1), (i_t * BT, 0), (BT, BK), (1, 0)) b_q = tl.zeros([BT, BK], dtype=tl.float32) b_q += tl.load(p_q, boundary_check=(0, 1)) sm_scale = scale * 1.44269504 b_o = tl.zeros([BT, BV], dtype=tl.float32) p_o = tl.make_block_ptr(o + (bos * HQ + i_hq) * V, (T, V), (HQ*V, 1), (i_t * BT, 0), (BT, BV), (1, 0)) b_o += tl.load(p_o, boundary_check=(0, 1)) p_L = tl.make_block_ptr(L + bos * HQ + i_hq, (T, ), (HQ, ), (i_t * BT, ), (BT, ), (0,)) p_M = tl.make_block_ptr(M + bos * HQ + i_hq, (T, ), (HQ, ), (i_t * BT, ), (BT, ), (0,)) b_l = tl.load(p_L, boundary_check=(0,)) b_m = tl.load(p_M, boundary_check=(0,)) if USE_GATE: p_g_cumsum_q = tl.make_block_ptr(g_cumsum + bos * HQ + i_hq, (T, ), (HQ, ), (i_t * BT, ), (BT, ), (0,)) b_g_cumsum_q = tl.load(p_g_cumsum_q, boundary_check=(0,)) else: b_g_cumsum_q = None for offset in range((i_t + 1) * BT - 2 * BS, i_t*BT-BS, -BS): p_k = tl.make_block_ptr(k + (bos * H + i_h) * K, (K, T), (1, K*H), (0, offset), (BK, BS), (0, 1)) # GQA when H!=HQ p_v = tl.make_block_ptr(v + (bos * H + i_h) * V, (T, V), (V*H, 1), (offset, 0), (BS, BV), (1, 0)) # GQA when H!=HQ p_w1 = tl.make_block_ptr(w1 + (bos * H + i_h) * K, (K, T), (1, K*H), (0, offset), (BK, BS), (0, 1)) p_w2 = tl.make_block_ptr(w2 + (bos * H + i_h) * K, (T, K), (K*H, 1), (offset, 0), (BS, BK), (1, 0)) # [BK, BS] b_k = tl.load(p_k, boundary_check=(0, 1)) # [BS, BV] b_v = tl.load(p_v, boundary_check=(0, 1)) # [BK, BK] b_w1 = tl.load(p_w1, boundary_check=(0, 1)) b_w2 = tl.load(p_w2, boundary_check=(0, 1)) # [BT, BS] m_s = i_t * BT + tl.arange(0, BT) >= (offset + BS) b_s = tl.dot(b_q.to(b_k.dtype), b_k) if USE_GATE: p_g_cumsum_k = tl.make_block_ptr(g_cumsum + (bos * HQ + i_hq), (T, ), (HQ, ), (offset, ), (BS, ), (0,)) b_g_cumsum_k = tl.load(p_g_cumsum_k, boundary_check=(0,)) b_s = b_s + b_g_cumsum_q[:, None] - b_g_cumsum_k[None, :] b_s = tl.where(m_s[:, None], b_s * sm_scale, float("-inf")) b_m_new = tl.maximum(b_m, tl.max(b_s, 1)) alpha = tl.math.exp2(b_m - b_m_new) b_s = tl.math.exp2(b_s - b_m_new[:, None]) b_o *= alpha[:, None] b_l = b_l * alpha + tl.sum(b_s, 1) b_m = b_m_new b_o += tl.dot(b_s.to(b_v.dtype), b_v) b_s2 = tl.dot(b_q.to(b_w1.dtype), b_w1) b_s2 = tl.where(m_s[:, None], b_s2, 0) b_q -= tl.dot(b_s2.to(b_w2.dtype), b_w2) tl.debug_barrier() for offset in range(i_t * BT - BS, -BS, -BS): p_k = tl.make_block_ptr(k + (bos * H + i_h) * K, (K, T), (1, K*H), (0, offset), (BK, BS), (0, 1)) # GQA when H!=HQ p_v = tl.make_block_ptr(v + (bos * H + i_h) * V, (T, V), (V*H, 1), (offset, 0), (BS, BV), (1, 0)) # GQA when H!=HQ p_w1 = tl.make_block_ptr(w1 + (bos * H + i_h) * K, (K, T), (1, K*H), (0, offset), (BK, BS), (0, 1)) p_w2 = tl.make_block_ptr(w2 + (bos * H + i_h) * K, (T, K), (K*H, 1), (offset, 0), (BS, BK), (1, 0)) # [BK, BS] b_k = tl.load(p_k, boundary_check=(0, 1)) # [BS, BV] b_v = tl.load(p_v, boundary_check=(0, 1)) b_w1 = tl.load(p_w1, boundary_check=(0, 1)) b_w2 = tl.load(p_w2, boundary_check=(0, 1)) # [BT, BS] b_s = tl.dot(b_q.to(b_k.dtype), b_k) if USE_GATE: p_g_cumsum_k = tl.make_block_ptr(g_cumsum + (bos * HQ + i_hq), (T, ), (HQ, ), (offset, ), (BS, ), (0,)) b_g_cumsum_k = tl.load(p_g_cumsum_k, boundary_check=(0,)) b_s = b_s + b_g_cumsum_q[:, None] - b_g_cumsum_k[None, :] b_s = b_s * sm_scale b_m_new = tl.maximum(b_m, tl.max(b_s, 1)) alpha = tl.math.exp2(b_m - b_m_new) b_s = tl.math.exp2(b_s - b_m_new[:, None]) b_o *= alpha[:, None] b_l = b_l * alpha + tl.sum(b_s, 1) b_m = b_m_new b_o += tl.dot(b_s.to(b_v.dtype), b_v) b_s2 = tl.dot(b_q.to(b_w1.dtype), b_w1) b_q -= tl.dot(b_s2.to(b_w2.dtype), b_w2) b_o = b_o / b_l[:, None] p_o_new = tl.make_block_ptr(o_new + (bos * HQ + i_hq) * V, (T, V), (HQ*V, 1), (i_t*BT, 0), (BT, BV), (1, 0)) tl.store(p_o_new, b_o.to(p_o_new.dtype.element_ty), boundary_check=(0, 1)) b_l = tl.math.log2(b_l) + b_m p_L_new = tl.make_block_ptr(L_new + (bos * HQ + i_hq), (T, ), (HQ, ), (i_t * BT, ), (BT, ), (0,)) tl.store(p_L_new, b_l.to(p_L_new.dtype.element_ty), boundary_check=(0,)) def parallel_path_fwd_fn( q, k, v, o, g_cumsum, w1, w2, scale, L, M, cu_seqlens, BT, BS, chunk_indices: torch.LongTensor | None = None, ): B, T, HQ, K = q.shape V = v.shape[-1] H = k.shape[-2] G = HQ // H if chunk_indices is None and cu_seqlens is not None: chunk_indices = prepare_chunk_indices(cu_seqlens, BT) indices = chunk_indices NT = triton.cdiv(T, BT) if cu_seqlens is None else len(indices) grid = (NT, B * HQ) o_new = torch.empty_like(o, dtype=v.dtype) L_new = torch.empty_like(L) parallel_path_fwd_kernel[grid]( q=q, k=k, v=v, o=o, o_new=o_new, w1=w1, w2=w2, g_cumsum=g_cumsum, scale=scale, cu_seqlens=cu_seqlens, indices=indices, L=L, L_new=L_new, M=M, T=T, K=K, V=V, BK=triton.next_power_of_2(K), BV=triton.next_power_of_2(V), G=G, HQ=HQ, H=H, BS=BS, BT=BT, num_warps=8 if (BT == 128 and K == 128) else 4, ) return o_new, L_new